SOLUTION: Can you please help me with this problem? Winter wheat. While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one fiel

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Question 304689: Can you please help me with this problem?
Winter wheat. While finding the amount of seed needed
to plant his three square wheat fields, Hank observed that
the side of one field was 1 kilometer longer than the side
of the smallest field and that the side of the largest field
was 3 kilometers longer than the side of the smallest field.
If the total area of the three fields is 38 square kilometers,
then what is the area of each field?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+(x+1)^2+(x+3)=38
x^2+x^2+2x+1+x^2+6x+9=38
3x^2+8x+10-38=0
3x^2+8x-28=0
(3x+14)(x-2)=0
x-2=0
x=2 km^2 ans. for the sides of the smaller field.
2+1=3 km^2 ans. for the sides of the second field.
2+3=5 km^2 ans. for the sides of the largest field.
Proof:
2^2+3^2+5^2=38
4+9+25=38
38=38